Question

1. draw a rectangle with an area of 18 square units.

= 1 unit

Explanation:

Step1: Recall the area formula for a rectangle

The area of a rectangle is given by \( A = l \times w \), where \( l \) is the length and \( w \) is the width. We need to find pairs of positive integers \( l \) and \( w \) such that \( l \times w=18 \).

Step2: Find factor pairs of 18

The factor pairs of 18 are:

• \( 1\times18 = 18 \)
• \( 2\times9=18 \)
• \( 3\times6 = 18 \)

Step3: Choose a factor pair and draw the rectangle

Let's choose the factor pair \( 3\times6 \). To draw the rectangle on the dot grid:

• For the length (let's say horizontal side), we count 6 dots (since each dot - to - dot is 1 unit, so 6 units long).
• For the width (vertical side), we count 3 dots (3 units wide).
• Then we connect the dots to form a rectangle with length 6 units and width 3 units (or we could use other factor pairs like \( 2\times9 \) or \( 1\times18 \) as well).

Answer:

A rectangle with length 6 units and width 3 units (or length 9 units and width 2 units, or length 18 units and width 1 unit) can be drawn. For example, using the factor pair \( 3\times6 \), we draw a rectangle that spans 6 dots horizontally and 3 dots vertically on the dot grid.